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130718196 = 223272931577
BaseRepresentation
bin1111100101010…
…01100111110100
3100002222011122200
413302221213310
5231430440241
620545424500
73145041420
oct762514764
9302864580
10130718196
1167872574
123793b130
132110a65b
1413509b80
15b7214b6
hex7ca99f4

130718196 has 144 divisors (see below), whose sum is σ = 403952640. Its totient is φ = 34836480.

The previous prime is 130718183. The next prime is 130718221. The reversal of 130718196 is 691817031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130718196.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226260 + ... + 226836.

Almost surely, 2130718196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130718196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201976320).

130718196 is an abundant number, since it is smaller than the sum of its proper divisors (273234444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130718196 is a wasteful number, since it uses less digits than its factorization.

130718196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 130718196 is about 11433.2058496294. The cubic root of 130718196 is about 507.5108700463.

It can be divided in two parts, 1307 and 18196, that added together give a triangular number (19503 = T197).

The spelling of 130718196 in words is "one hundred thirty million, seven hundred eighteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 31 36 42 58 62 63 84 87 93 116 124 126 174 186 203 217 252 261 279 348 372 406 434 522 558 577 609 651 812 868 899 1044 1116 1154 1218 1302 1731 1798 1827 1953 2308 2436 2604 2697 3462 3596 3654 3906 4039 5193 5394 6293 6924 7308 7812 8078 8091 10386 10788 12117 12586 16156 16182 16733 17887 18879 20772 24234 25172 32364 33466 35774 36351 37758 48468 50199 53661 56637 66932 71548 72702 75516 100398 107322 113274 117131 125209 145404 150597 160983 200796 214644 226548 234262 250418 301194 321966 351393 375627 468524 500836 518723 602388 643932 702786 751254 1037446 1054179 1126881 1405572 1502508 1556169 2074892 2108358 2253762 3112338 3631061 4216716 4507524 4668507 6224676 7262122 9337014 10893183 14524244 18674028 21786366 32679549 43572732 65359098 130718196